a.) Compute the angle 0, between the force vector F and the +z – axis. b.) Determine the vector representation of F given the its magnitude is 240 N. Z. F 50° 60° (round up your answers to 1 decimal place) a.) 0z b.) F = i+ j+ k (N)

Q: 1. Two vectors (M = dax-6ay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?…

A: To find a vector perpendicular to two vectors we calculate cross product: V= M x N V = (4ax-6ay) x…

Q: 1.) Transform each of the following vectors to cylindrical coordinates at the point specified. a) A…

A:

Q: 2. What are the x- and y-components of the vector E? A. Ex = E cos B, Ey E sin B B. Ex = E sin B, Ey…

A:

Q: A vector has the components A, = 26 m and A, = 19 m. %3D %3D Part A What is the magnitude of this…

A: Given data:  Ax = 26 m and Ay = 19 m Required: The angle with the positive x-axis

Q: A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the…

A:

Q: A watermelon seed has the following coordinates: x = −2 m, y = 2 m, and z = 0 m. (a) Find its…

A: The Cartesian coordinate system is defined by the two orthogonal basis vectors, the length of the…

Q: 1) Define the unit vector? What is the unit vector of the general vector: A = axî + ayî + a₂k and B…

A:

Q: Q4:- Given three vectors A = 2î, B = 4î - 2j + k, and C = î- 3. 1- Ả x (B x č), 2- Is A…

A: A = 2i  B= 4i -2j +k  C=i - 3k

Q: 5) With A any vector, (Ā · V)F = Ā. (a) Verify this result in Cartesian coordinates. (b) Verify this…

A:

Q: Question 1: a. Determine the two unit vectors that are orthogonal to i = (-2, –1). Which two unit…

A: a) Given vector is V ⇀=(-2,-1)    Let us consider a vector, a⇀=(x,y)which is orthogonal to v⇀…

Q: The figure shows a two-dimensional vector A. The x-component of A is –10.30 and the y-component is…

A:

Q: 1) Define the unit vector? What is the unit vector of the general vector: A = azî + a,ĵ + a,k and B…

A:

Q: 1. Three vectors are given by, R, = 2î + 3j – 6k, R2 = 21 – mj – 8k and %3D R, = nî + 4.5j – 9k…

A: We have 3 vectors, R1→=2i^+3j^-6k^R2→=2i^-mj^-8k^R3→=ni^+4.5j^-9k^

Q: F= 50 lb 1. Express the force as a Cartesian vector or Rectangular representation. 2. Given the…

A:

Q: [#167] Components of vectors The vector A in the (x, y) plane has magnitude A = 3.1 and makes angle…

A:

Q: A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a…

A: a) OP =(1.95)2+(1.10)2          =3.8025+1.21          =5.0125           = 2.238mdistance from…

Q: 27 a0 what are, in unit-vector notation, (a) d¡ and (b) dz? If d, + d2 = 5d, d, – dz = 3dz, and dz =…

A: Given d1 + d2 = 5d3 d1 - d2 = 3d3 d3 = 2 i + 4 j

Q: | Suppose Č= Á + B where vector A has components A, = 5, A, = 2 and vector B has components B,= -3,…

A:

Q: the following questions B. What is the magnitude of the Yorce in standard form? The following force…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: ASK YOUR TEACHER G, P, & T are shown below. G = 38, P = 29, & T = 22. Let R = 9G +9P+ 7T. Determine…

A:

Q: Two vectors ??⃗ and ??�⃗ in three dimensional space are expressed by their coordinates (2, 4, – 5)…

A:

Q: (1) In the primary lab document, the following example is given: 120N F = +(60.0 N) +(103.9 N)f F2 =…

A: A polar coordinate system is one in which, each point on a plane is determined by a distance from a…

Q: a. What are the x- and y-components of vector E→ shown in terms of the angle θ and the magnitude E?…

A: It is given that the magnitude of vector E →is 'E' .

Q: 1. Three vectors are given by: a = 2î – 3ĵ + 5k, b = -2î + 7} – k and %3D °c = lî + 2ĵ – 4k. - Find…

A:

Q: Consider the vectors A = -2î + 5j – and B = 5î - 6j + 7k. Calculate the following quantities. (Give…

A:

Q: W & U are shown below. W = 36, & U = 16. Let R = W - U. Determine the components of each vector as…

A: Given:- Two vectors W= 36 U= 16  Let R = W.U  the direction of a vector given in the fig  Find:- The…

Q: 3. Three vectors extending from the origin are given as r1 = 7a, + 3a, – 2a,, r2 = -2a, + 7ay – 3a,…

A:

Q: Determine the two unit vectors that are orthogonal to v = (-2,–1). Which two unit vectors are…

A: Let the orthogonal vector be represented by  B→=xi^+yj^and we have A→=-2i^-j^For orthogonal vectors…

Q: = xi + yj + zk , projection of this vector is in xy plane is given by p, angle between R & p is 120'…

A: Given

Q: P & Ñ are shown below. P = 46, & N = 50. Let R = P-N. Determine the components of each vector as…

A:

Q: Q. 6: Suppose the sides of polygon represent vector arranged head to tail. Calculate the sum of…

A: Given a polygon,  We know that if a set of vectors given in particular order gives a closed polygon…

Q: 1. a. How do you add two vectors a and b geometrically? Illustrate using the two diagrams. (Hint:…

A: When we represent two vectors in cartesian co-ordinate then the positions of vectors be:…

Q: Q2a The resultant vector R = (F1 + F2) and acts on body P. The force vector F1 acts on body P with a…

A: Given: The resultant force vector is R→=F1→+F2→, The magnitude of F1 is F1=172.80 N, The angle…

Q: 1. Given the vector 4î− 2ĵ+ 5k̂ a. Write this vector in ordered pair notation b. Create a unit…

A: Given the vector 4î− 2ĵ+ 5k̂

Q: A unit vector m is along the positive x-axis and the unit vector n in quarant II. The angle between…

A:

Q: Tor what values of a, the vectors are A = 2aî+2j+ak and aî+2aj +2t perpendicular? %3D

A: Given data:    A→ = 2ai^ +2j^ + ak^B→ = ai^ +2aj^ + 2k^ The vectors are perpendicular.

Q: 3. What is the volume of a parallelepiped whose edges are represented by A= 2i-3j+4k, B= i+2j-k, and…

A:

Q: Question 6 Solve the following given vectors A, B and C: A = 2î + 33+ k %3D B = -4î + 23 - k C = 21…

A:

Q: L&E are shown below. L = 42, & E= 16. Let R = L-E. Determine the components of each vector as well…

A:

Q: Vectors P, Q, and S are drawn on a scaled grid as shown. Which of the following is the correct…

A:

Q: Question 2 Given the vectors: A 10 + 5ŷ B = -2â + 7ŷ C = 4 + 6ŷ D = 3A + B – c How do we write…

A:

Q: A P vector function is given as P = ar10rsin∅ + a∅2r2cos∅ A) Calculate ∮ P.dl ' in the direction…

A:

Q: Ex : If vector A = 10 and vector B = 12 and the angle between them is 70. What is the magnitude of…

A: Given : A = 10 B = 12 θ = 70°

Q: Q4: 1) Find the value of x that makes a perpendicular with b if a =i+j+ 3k., b= 2i + 7j – x k 2)…

A:

Q: 3. This one is tougher! Consider y' the vector A in the figure to the right, making an angle 0 with…

A: The length of vector A’ is computed as follows.

Q: F= 50 lb 1. Express the force as a Cartesian vector or Rectangular representation.

A: 1.To express the force as a cartesian vector Diagram

Q: Q3.The rectangle shown in Figure has sides parallel tothe x and y axes. The position vectors of two…

A:

Q: A) Plot the following vectors in the "PHET: Vector Addition" simulation: a : ag -2; ay -7 %3D b: b,…

A: Given that:- Addition of two given vectors.